Answer:
is their any way I can get some more info on this problem
Step-by-step explanation:
the equation of a parabola in
vertex form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
a
(
x
−
h
)
2
+
k
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−
where
(
h
,
k
)
are the coordinates of the vertex and a
is a multiplier
to obtain this form
complete the square
y
=
x
2
+
2
(
4
)
x
+
16
−
16
+
14
⇒
y
=
(
x
+
4
)
2
−
2
←
in vertex form
⇒
vertex
=
(
−
4
,
−
2
)
to obtain the intercepts
∙
let x = 0, in the equation for y-intercept
∙
let y = 0, in the equation for x-intercept
x
=
0
⇒
y
=
0
+
0
+
14
=
14
←
y-intercept
y
=
0
⇒
(
x
+
4
)
2
−
2
=
0
←
add 2 to both sides
⇒
(
x
+
4
)
2
=
2
take the square root of both sides
√
(
x
+
4
)
2
=
±
√
2
←
note plus or minus
⇒
x
+
4
=
±
√
2
←
subtract 4 from both sides
⇒
x
=
−
4
±
√
2
←
exact values
graph{(y-x^2-8x-14)((x+4)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}
Answer:
10.3
Step-by-step explanation:
As we move from (-3,-6) to (2,3), x increases by 5 (this is the horizontal distance between (2,3) and (-3,-6) ) and y decreases by 9 (vertical distance).
We apply the Pythagorean Theorem here:
d^2 = x^2 + y^2, or
d^2 = (5)^2 + (-9)^2 = 25 + 81 = 106
Thus, the distance between (2,3) and (-3,-6) is d = sqrt(106), or approx.
10.3.
Answer:
13m/h
Step-by-step explanation:
1/5m=1/65h
65/5m=h
13m=h
13 miles per hour.
